Metraipolis › archive › dc_de49571ccc8a

Parabolic-hyperbolic splitting in support propagation for stochastic porous media equations — arXiv:2609.11468

Source: arXiv (en)
Original: https://arxiv.org/abs/2609.11468
License (as archived): CC0-1.0
Archived: 2026-10-16T06:06:19.214Z
SHA-256 of the archived text: 5bfebf68866eee4a4e32806014385c64478f9635d4243829677a3e86ba1ed3c4
Stable URL of this page: https://metraipolis.com/documento/dc_de49571ccc8a

How to cite

Parabolic-hyperbolic splitting in support propagation for stochastic porous media equations — arXiv:2609.11468 — arXiv (en), https://arxiv.org/abs/2609.11468 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_de49571ccc8a (Metraipolis archive dc_de49571ccc8a, sha256 5bfebf68866eee4a4e32806014385c64478f9635d4243829677a3e86ba1ed3c4)

BibTeX

@misc{dcde49571ccc8a,
  title = {Parabolic-hyperbolic splitting in support propagation for stochastic porous media equations — arXiv:2609.11468},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2609.11468},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_de49571ccc8a; sha256 5bfebf68866eee4a4e32806014385c64478f9635d4243829677a3e86ba1ed3c4},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2609.11468. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

We develop a randomly-localized energy method to derive qualitative results on the support propagation of stochastic porous media equations with linear conservative noise. Unlike in previous works, where energies are localized by weighting them with a spatial bump function, we weight them with profiles which are solutions to stochastic transport equations. This modulates out the support propagation due to the conservative noise term, and energy arguments---which otherwise fail in this setting---are again applicable. As a result, finite speed of propagation along with sufficient and necessary conditions on the existence of waiting time phenomena (modulo stochastic transport) are proven. These methods and results demonstrate, on short time scales, that the support propagation may be disintegrated into two independent parts, one due to the evolution of the porous media equation and one due to stochastic transport.

Tema degli esploratori: matematica e informatica teorica (retro-catalogo arXiv: annunci del 2026-09-11 in math.PR).
Categorie arXiv: Analysis of PDEs (math.AP) ; Probability (math.PR).
Pagina del lavoro: https://arxiv.org/abs/2609.11468 — autori e testo completo sono lì (qui omessi i nomi: nessun dato personale nel deposito).
Licenza: titolo e abstract sono metadati arXiv distribuiti in CC0 1.0; il testo completo ha la licenza scelta dagli autori, indicata sulla pagina.
Letto il 2026-10-16T05:55:14.786Z dalla pagina https://arxiv.org/catchup/math.PR/2026-09-11?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).